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Finding the Fourth Proportional to 20,145.92, 30,219.15 and 5,354.76

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Solution

The fourth proportional to 20,145.92, 30,219.15 and 5,354.76 is: 8,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.92 : 30,219.15 = 5,354.76 : x
  2. Step 2: Convert to fraction form
    20,145.92/30,219.15 = 5,354.76/x
  3. Step 3: Cross multiply
    20,145.92x = 30,219.15 × 5,354.76
  4. Step 4: Simplify right side
    20,145.92x = 161,816,295.65
  5. Step 5: Solve for x
    x = 161,816,295.65/20,145.92
  6. Step 6: Final answer
    x = 8,032.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.